The conjugation method in symplectic dynamics

• Francisco Presas ^[1] ; Luis Hernández-Corbato ^[1]
  1. [1] Universidad Autónoma de Madrid

     Universidad Autónoma de Madrid

     Madrid, España

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 1, 2019, págs. 1-22
• Idioma: inglés
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• Resumen

  • We prove the existence of minimal symplectomorphisms and strictly ergodic contactomorphisms on manifolds which admit a locally free S1-action by symplectomorphisms and contactomorphisms, respectively. The proof adapts the conjugation method, introduced by Anosov and Katok, to the contact and symplectic setting.